Mathematics
Mathematics, 15.02.2021 05:40, ayoismeisalex

Let f be the function defined by f(x) = −ln(x) for 0 < x ≤ 1. R is the region between the graph of f and the x-axis. This question does not permit the use of a calculator.
Determine whether region R has a finite area. If so, find the area. If not, explain why.

This question does not permit the use of a calculator.
Determine whether the solid generated by revolving region R about the y-axis has a finite volume. If so, find the volume. If not, explain why.

The formula for the arc length from a to b of a differentiable function is L equals the integral from a to b of the square root of the quantity 1 plus the square of f prime of x dx. Find the length of the curve f(x) from x = 0.5 to x = 1. Your work must show the integral, but you may use your calculator to evaluate it. Give 3 decimal places in your answer.

g(x) = x2. Find the area bounded by f(x), g(x) and the x-axis in the interval [0.5, 1]. Your work must show the integral, but you may use your calculator to evaluate it. Give 3 decimal places in your final answer.

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares.
Your work must show the integral, but you may use your calculator to evaluate it. Give 3 decimal places for your answer.

answer
Answers: 3

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 13:10, itsme123427
True or false? many triangular shapes can be circumscribed about a given circle
Answers: 2
image
Mathematics, 21.06.2019 17:00, a897coleman
One month, a music site observed that 60% of the people who downloaded songs from its site downloaded q sam's latest single. the equation below represents this information, where x represents the total number of people who ddownloaded songs from the site that month: x = 0.6x + 384 how many people who downloaded songs from the site that month downloaded q sam's latest single?
Answers: 3
image
Mathematics, 21.06.2019 18:30, pavonkarla191
What is the prime factorization of 230
Answers: 1
image
Mathematics, 21.06.2019 19:20, TrudnEli1217
Which number completes the system of linear inequalities represented by the graph? y> 2x – 2 and x + 4y 2 et 2 3 4
Answers: 3
Do you know the correct answer?
Let f be the function defined by f(x) = −ln(x) for 0 < x ≤ 1. R is the region between the graph o...

Questions in other subjects:

Konu
History, 30.03.2021 20:20